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| For example, {{CURRENTYEAR}} divided by 19 gives {{#expr: floor ({{CURRENTYEAR}}/19)}}, remainder {{#expr: {{CURRENTYEAR}} mod 19}}. Adding 1 to the remainder gives a golden number of {{#expr: 1+({{CURRENTYEAR}} mod 19)}}. | For example, {{CURRENTYEAR}} divided by 19 gives {{#expr: floor ({{CURRENTYEAR}}/19)}}, remainder {{#expr: {{CURRENTYEAR}} mod 19}}. Adding 1 to the remainder gives a golden number of {{#expr: 1+({{CURRENTYEAR}} mod 19)}}. | ||
| The term ''golden number'' |
The golden number, as it was later called, first appears in a calendar composed by ] around the year 1000. Around 1162 a certain Master William referred to this number as the golden number "because it is more precious than the other numbers."<ref>{{ Citation | author-last = Nothaft | author-first = C. Philipp E. | date = 2018 | title = Scandalous Error: Calendar Reform and Calendrical Astronomy in Medieval Europe | publisher = Oxford University Press | place = Oxford | pages = 57–58 | isbn = 978-0-19-879955-9 }}</ref> The term ''golden number'' became widely known and used, in part through the computistic poem ''Massa Compoti'' written by ] around 1200.<ref>Walter Emile van Wijk, ''Le Nombre d'Or: Étude de chronologie technique suivie du texte de la Massa Compoti d'Alexandre de Villedieu'' (The Hague: Martinus Nijhoff, 1936) — .</ref> | ||
| ==References== | ==References== | ||
Revision as of 19:58, 30 September 2018
Not to be confused with Golden ratio.A golden number (sometimes capitalized) is a number assigned to each year in sequence to indicate the year's position in a 19-year Metonic cycle. They are used in the computus (the calculation of the date of Easter) and also in the Runic calendar. The golden number of any Julian or Gregorian calendar year can be calculated by dividing the year by 19, taking the remainder, and adding 1. (In mathematics this can be expressed as (year number modulo 19) + 1.)
For example, 2025 divided by 19 gives 106, remainder 11. Adding 1 to the remainder gives a golden number of 12.
The golden number, as it was later called, first appears in a calendar composed by Abbo of Fleury around the year 1000. Around 1162 a certain Master William referred to this number as the golden number "because it is more precious than the other numbers." The term golden number became widely known and used, in part through the computistic poem Massa Compoti written by Alexander de Villa Dei around 1200.
References
- Nothaft, C. Philipp E. (2018), Scandalous Error: Calendar Reform and Calendrical Astronomy in Medieval Europe, Oxford: Oxford University Press, pp. 57–58, ISBN 978-0-19-879955-9
- Walter Emile van Wijk, Le Nombre d'Or: Étude de chronologie technique suivie du texte de la Massa Compoti d'Alexandre de Villedieu (The Hague: Martinus Nijhoff, 1936) — online link.
- "Metonic Cycle". Microsoft Encarta Online Encyclopedia. Archived from the original on November 1, 2009.
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